Question: 5. Let M = ( SL) be a model where S = {So, Si, S2, S3}. The relation + is {So S., S, S., S

5. Let M = ( SL) be a model where S = {So, Si, S2, S3}. The relation + is {So S., S, S., S So, S, S, S, S, Sz + S2}. Furthermore, L(S) = {a}, L(S) = 6, L(S2) = {0}, L(S3) = {a,b). (a) Draw the state diagram for the model M. (b) Unwind the system to a depth of 4 starting from S, (you may count the depth of first node as 1). (c) For each of the following formula o, identify an infinite path starting from S, which satisfies + o. If such a path does not exist, then mention "does not exist": Justify your answer. i. (UX-b) A Xa ii. b A (XXX-a) Ua)

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